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13122414000433 is a prime number
BaseRepresentation
bin1011111011110100110011…
…0100110011100100110001
31201110111020121001001211101
42332331030310303210301
53204444200441003213
643524204225244401
72523030436421053
oct276751464634461
951414217031741
1013122414000433
1141aa20366a0a1
12157b265a93701
13742591020aba
143351b1bd38d3
1517b52652bbdd
hexbef4cd33931

13122414000433 has 2 divisors, whose sum is σ = 13122414000434. Its totient is φ = 13122414000432.

The previous prime is 13122414000431. The next prime is 13122414000439. The reversal of 13122414000433 is 33400041422131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7357070361664 + 5765343638769 = 2712392^2 + 2401113^2 .

It is a cyclic number.

It is not a de Polignac number, because 13122414000433 - 21 = 13122414000431 is a prime.

Together with 13122414000431, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13122414000431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561207000216 + 6561207000217.

It is an arithmetic number, because the mean of its divisors is an integer number (6561207000217).

Almost surely, 213122414000433 is an apocalyptic number.

It is an amenable number.

13122414000433 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122414000433 is an equidigital number, since it uses as much as digits as its factorization.

13122414000433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13122414000433 its reverse (33400041422131), we get a palindrome (46522455422564).

The spelling of 13122414000433 in words is "thirteen trillion, one hundred twenty-two billion, four hundred fourteen million, four hundred thirty-three", and thus it is an aban number.